Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
6th Edition
ISBN: 9780137549375
Author: Richard Larsen, Morris Marx
Publisher: PEARSON+
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Textbook Question
Chapter 7.4, Problem 3Q
Which of the following differences is larger? Explain.
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Example 4 (Part 2) We can use Statkey to take 50 different random samples of size 20 each, find the mean of
each sample, and compute a confidence interval for each one. The graph of the sampling distribution of the means
is on the left below, and that of the 50 confidence intervals is on the right.
1. What does each dot on the left hand dotplot represent?
StatKey Sampling Distribution for a Mean
Percent with Internet Access (Countries) ▾
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Choose samples of size n =
20
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Sampling Dotplot of Mean
Left Tail Two-Tail Right Tail
60
50
40
40
30
20
20
10
samples = 50
mean = 41.626
std. error = 5.089
:
.:
:
::
0
25
30
35
40
45
50
55
60
41.626
Data Plots
Confidence Intervals
95%->
Confidence Intervals
Coverage
48/50 = 96%
20
40
60
80
2. Circle the confidence intervals that failed to capture the true mean.
3. Circle the sample means that produced those…
Example 4 (Part 1) One of the datasets in the Lock book
contains information about 215 countries of the world. One
of the variables is the percentage of people in the country
who have access to the internet. We have data for 203 of
those countries. The plot on the right shows a dotplot of
the data.
1. What are the cases?
Population
n = 203, mean = 43.024
median = 43.5, stdev = 29.259
20
2. What does each dot on the dotplot represent?
15
10
5
20
40
43.024
60
80
3. What type of data is do we collect from the cases, quantitative or categorical?
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n =6 professional basketball players gave the following information.
x
63
79
70
80
84
87
y
46
49
45
55
57
58
Find Se. Round your answer to three decimal places.
Chapter 7 Solutions
Pearson eText for An Introduction to Mathematical Statistics and Its Applications -- Instant Access (Pearson+)
Ch. 7.3 - Show directlywithout appealing to the fact that n2...Ch. 7.3 - Find the moment-generating function for a chi...Ch. 7.3 - Prob. 3QCh. 7.3 - Use the fact that (n1)S2/2 is a chi square random...Ch. 7.3 - Let Y1,Y2,...,Yn be a random sample from a normal...Ch. 7.3 - If Y is a chi square random variable with n...Ch. 7.3 - Use Appendix Table A.4 to find (a) F.50,6,7 (b)...Ch. 7.3 - Let V and U be independent chi square random...Ch. 7.3 - Use Appendix Table A.4 to find the values of x...Ch. 7.3 - Suppose that two independent samples of size n are...
Ch. 7.3 - If the random variable F has an F distribution...Ch. 7.3 - Prob. 12QCh. 7.3 - Show that as n, the pdf of a Student t random...Ch. 7.3 - Prob. 14QCh. 7.3 - Prob. 15QCh. 7.4 - Use Appendix Table A.2 to find the following...Ch. 7.4 - What values of x satisfy the following equations?...Ch. 7.4 - Which of the following differences is larger?...Ch. 7.4 - A random sample of size n=9 is drawn from a normal...Ch. 7.4 - Suppose a random sample of size n=11 is drawn from...Ch. 7.4 - Let Y and S denote the sample mean and sample...Ch. 7.4 - Cell phones emit radio frequency energy that is...Ch. 7.4 - The following table lists the typical cost of...Ch. 7.4 - Creativity, as any number of studies have shown,...Ch. 7.4 - How long does it take to fly from Atlanta to New...Ch. 7.4 - In a nongeriatric population, platelet counts...Ch. 7.4 - If a normally distributed sample of size n=16...Ch. 7.4 - Prob. 13QCh. 7.4 - Revenues reported last week from nine boutiques...Ch. 7.4 - What confidence is associated with each of the...Ch. 7.4 - The weather station at Dismal Swamp, California,...Ch. 7.4 - Recall the Bacillus subtilis data in Question...Ch. 7.4 - Recall Case Study 5.3.1. Assess the credibility of...Ch. 7.4 - MBAs R Us advertises that its program increases a...Ch. 7.4 - In addition to the Shoshoni data of Case Study...Ch. 7.4 - A manufacturer of pipe for laying underground...Ch. 7.4 - In athletic contests, a wide-spread conviction...Ch. 7.4 - Prob. 23QCh. 7.4 - Prob. 24QCh. 7.4 - Prob. 25QCh. 7.4 - Suppose that random samples of size n are drawn...Ch. 7.4 - On which of the following sets of data would you...Ch. 7.5 - Use Appendix Table A.3 to find the following...Ch. 7.5 - Evaluate the following probabilities: (a)...Ch. 7.5 - Find the value y that satisfies each of the...Ch. 7.5 - For what value of n is each of the following...Ch. 7.5 - For df values beyond the range of Appendix Table...Ch. 7.5 - Let Y1,Y2,...,Yn be a random sample of size n from...Ch. 7.5 - Start with the fact that (n1)S2/2 has a chi square...Ch. 7.5 - A random sample of size n=19 is drawn from a...Ch. 7.5 - How long sporting events last is quite variable....Ch. 7.5 - How much interest certificates of deposit (CDs)...Ch. 7.5 - Prob. 11QCh. 7.5 - (a) Use the asymptotic normality of chi square...Ch. 7.5 - If a 90% confidence interval for 2 is reported to...Ch. 7.5 - Prob. 14QCh. 7.5 - Prob. 15QCh. 7.5 - When working properly, the amounts of cement that...Ch. 7.5 - A stock analyst claims to have devised a...
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